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math.GT2011★ 2 cited
Homotopy properties of knots in prime manifolds
Prudence Heck
We define homotopy-theoretic invariants of knots in prime 3-manifolds. Fix a knot J in a prime 3-manifold M. Call a knot K in M concordant to J if it cobounds a properly embedded a…
math.GT2010★ 1 cited
Twisted homology cobordism invariants of knots in aspherical manifolds
Prudence Heck
We fix a null-homologous, homotopically essential knot in a 3-manifold with PTFA fundamental group and study concordance of knots that are homotopic to . We construct an inf…